22101200210000 has 200 divisors, whose sum is σ = 54285634586304. Its totient is φ = 8712309760000.

The previous prime is 22101200209999. The next prime is 22101200210087. The reversal of 22101200210000 is 1200210122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2227265039 + ... + 2227274961.

Almost surely, 2^{22101200210000} is an apocalyptic number.

22101200210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27142817293152).

22101200210000 is an abundant number, since it is smaller than the sum of its proper divisors (32184434376304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22101200210000 is an equidigital number, since it uses as much as digits as its factorization.

22101200210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22101200210000 its reverse (1200210122), we get a palindrome (22102400420122).

The spelling of 22101200210000 in words is "twenty-two trillion, one hundred one billion, two hundred million, two hundred ten thousand".